The rigid beam is supported by the three posts A, B, and C. Posts A and C have a diameter of 60 mm and are made of a material for which E = 70 GPa and σ_Y= 20 MPa. Post B is made of a material for which E' = 100 GPa and σ_Y' = 590 MPa. If P = 130 kN, determine the diameter of post B so that all three posts are about to yield.

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|–-2 m–-|–2 m–-2 m--2 m|